Coherent States Formulation of Polymer Field Theory - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Access content directly
Journal Articles Journal of Chemical Physics Year : 2013

Coherent States Formulation of Polymer Field Theory

Xingkun Man
  • Function : Author
Kris T. Delaney
  • Function : Author
Michael C. Villet
  • Function : Author
Glenn H. Fredrickson
  • Function : Author

Abstract

We introduce a stable and efficient complex Langevin (CL) scheme to enable the first numerical simulations of the coherent-states (CS) formulation of polymer field theory. In contrast with Edwards' well known auxiliary-field (AF) framework, the CS formulation does not contain an embedded non-linear, non-local functional of the auxiliary fields, and the action of the field theory has a fully explicit, finite-order and semi-local polynomial character. In the context of a polymer solution model, we demonstrate that the new CS-CL dynamical scheme for sampling fluctuations in the space of coherent states yields results in good agreement with now-standard AF simulations. The formalism is potentially applicable to a broad range of polymer architectures and may facilitate systematic generation of trial actions for use in coarse-graining and numerical renormalization-group studies.

Dates and versions

cea-01054230 , version 1 (05-08-2014)

Identifiers

Cite

Xingkun Man, Kris T. Delaney, Michael C. Villet, Henri Orland, Glenn H. Fredrickson. Coherent States Formulation of Polymer Field Theory. Journal of Chemical Physics, 2013, 140 (2), pp.4905. ⟨10.1063/1.4860978⟩. ⟨cea-01054230⟩
52 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More